What is the Greatest Common Factor of 89148 and 89162?

Greatest common factor (GCF) of 89148 and 89162 is 2.

GCF(89148,89162) = 2

We will now calculate the prime factors of 89148 and 89162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89148 and 89162.

How to find the GCF of 89148 and 89162?

We will first find the prime factorization of 89148 and 89162. After we will calculate the factors of 89148 and 89162 and find the biggest common factor number .

Step-1: Prime Factorization of 89148

Prime factors of 89148 are 2, 3, 17, 19, 23. Prime factorization of 89148 in exponential form is:

89148 = 2² × 3¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 89162

Prime factors of 89162 are 2, 109, 409. Prime factorization of 89162 in exponential form is:

89162 = 2¹ × 109¹ × 409¹

Step-3: Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574

Step-4: Factors of 89162

List of positive integer factors of 89162 that divides 89148 without a remainder.

1, 2, 109, 218, 409, 818, 44581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89148 and 89162. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89162 is 2.

Also check out the Least Common Multiple of 89148 and 89162